Properties of dynamical fractal geometries in the model of causal dynamical triangulations

Authors :: Jerzy Jurkiewicz
Jan Ambjørn
Z. Drogosz
Andrzej Görlich
Source :: Ambjorn, J, Drogosz, Z, Gorlich, A & Jurkiewicz, J 2021, ' Properties of dynamical fractal geometries in the model of causal dynamical triangulations ', Physical Review D, vol. 103, no. 8, 086022 . https://doi.org/10.1103/PhysRevD.103.086022, Physical Review, Physical Review D, 103, 8, pp. 1-17, Physical Review D, 103, 1-17
Publication Year :: 2021
Publisher :: American Physical Society (APS), 2021.
Abstract: We investigate the geometry of a quantum universe with the topology of the four-torus. The study of non-contractible geodesic loops reveals that a typical quantum geometry consists of a small semi-classical toroidal bulk part, dressed with many outgrowths, which contain most of the four-volume and which have almost spherical topologies, but nevertheless are quite fractal.<br />Comment: 16 pages, 16 figures

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